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What is the Least Common Multiple of 63951 and 63961?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 63951 and 63961 is 4090369911.

LCM(63951,63961) = 4090369911

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Least Common Multiple of 63951 and 63961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63951 and 63961, than apply into the LCM equation.

GCF(63951,63961) = 1
LCM(63951,63961) = ( 63951 × 63961) / 1
LCM(63951,63961) = 4090369911 / 1
LCM(63951,63961) = 4090369911

Least Common Multiple (LCM) of 63951 and 63961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63951 and 63961. First we will calculate the prime factors of 63951 and 63961.

Prime Factorization of 63951

Prime factors of 63951 are 3, 21317. Prime factorization of 63951 in exponential form is:

63951 = 31 × 213171

Prime Factorization of 63961

Prime factors of 63961 are 167, 383. Prime factorization of 63961 in exponential form is:

63961 = 1671 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 63951 and 63961.

LCM(63951,63961) = 31 × 213171 × 1671 × 3831
LCM(63951,63961) = 4090369911